Designing Analog Computer to Solve x' + 9x = 3

In summary, the conversation involves designing an analog computer to solve the equation x' + 9x = 3 using 2 summing amplifiers and an integrator. The circuit includes a 3V offset and an overall feedback, and there is a question about the purpose of adding in the 3V and the specifics of the feedback. The participant also includes a link to a reference pdf file for further information.
  • #1
euler_fan
21
0
I am instructed to design an analog computer to solve the following equation using 2 summing amplifiers and a integrator. I have attached a image of what I've done. I am seeking confirmation of my circuit or hint as to how to proceed.

Thanks in advance!

eqn: x' + 9x = 3
 

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  • #2
Thread moved to the Homework Forums.

Can you describe your circuit some for us? Why are you adding in 3V before doing the differentiation? What is the overall feedback for? Is V1 meant to be both x and the 3V offset?
 
  • #3
As I understand the process: solve for the highest derivative, so
U1: x' = -(-9x + 3)
U2: -x = Integration of x'
U3: x = inversion of -x feedback to U1

This was my implementation, I have also included a link to a pdf file I was using as reference [http://dcoward.best.vwh.net/analog/Aug00S&V.pdf]

Once again, Thanks
 
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FAQ: Designing Analog Computer to Solve x' + 9x = 3

How does an analog computer solve a differential equation?

An analog computer uses physical components such as resistors, capacitors, and operational amplifiers to represent the variables and equations in a differential equation. By manipulating these components, the analog computer can solve the equation and provide an output.

What are the advantages of using an analog computer to solve this equation?

Analog computers are faster and more accurate at solving differential equations compared to digital computers. They can also handle more complex equations and provide real-time solutions.

Can an analog computer solve any type of differential equation?

No, analog computers are best suited for solving linear differential equations with constant coefficients like x' + 9x = 3. They may not be able to handle nonlinear equations or equations with varying coefficients.

How does the design of the analog computer affect its ability to solve the equation?

The design of the analog computer, including the type and arrangement of its components, can greatly impact its ability to solve the equation accurately and efficiently. A well-designed analog computer can provide more precise solutions and handle more complex equations.

Can an analog computer be used to solve other types of mathematical problems?

Yes, analog computers can be used to solve a variety of mathematical problems, including differential equations, integrals, and differential equations with boundary conditions. They are also useful for modeling and simulating physical systems.

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